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Finding the Third Proportional to 464,901.19 and 704,368.69

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Solution

The third proportional to 464,901.19 and 704,368.69 is: 1,067,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901.19 : 704,368.69 = 704,368.69 : x
  2. Step 2: Convert to fraction form
    464,901.19/704,368.69 = 704,368.69/x
  3. Step 3: Cross multiply
    464,901.19x = 704,368.69 × 704,368.69
  4. Step 4: Simplify right side
    464,901.19x = 496,135,247,930.47
  5. Step 5: Solve for x
    x = 496,135,247,930.47/464,901.19
  6. Step 6: Final answer
    x = 1,067,184.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.